Exponential decay of semigroups for second order non-selfadjoint linear differential equations

Details Exponential decay of semigroups for second order non-selfadjoint linear differential equations Exponential decay of semigroups for second order non-selfadjoint linear differential equations

2010-12-10

arxiv.org/abs/1012.2239v1

Mathematics

Spectral Theory

Scientific paper

The Cauchy problem for second order linear differential equation
$u''(t)+Du'(t)+Au(t)=0$ in Hilbert space $H$ with a sectorial operator $A$ and
an accretive operator $D$ is studied. Sufficient conditions for exponential
decay of the solutions are obtained.

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